Accession Number:

AD0630121

Title:

A NEW INITIAL VALUE METHOD FOR INTERNAL INTENSITIES IN RADIATIVE TRANSFER,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1966-03-01

Pagination or Media Count:

24.0

Abstract:

An improved technique is presented for determining internal intensities for transport processes in finite slabs where absorption and multiple scattering occur. Traditional approaches involve solving either an unstable linear two-point boundary-value problem or a singular integral equation, both of which have computational drawbacks. This new method, however, has computational and analytical advantages, for it leads to the integration of an initial value problem for a system of ordinary differential equations, a suitable task for digital computers. Some typical results are presented as well as comparisons against other calculations. The authors also show how certain problems involving two-point boundary conditions or singular integral equations can be converted into stable initial-value problems, a major step in mathematical physics and engineering. Author

Subject Categories:

  • Astrophysics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE